1. Warm up Solve and graph on number line 5|x+2| - 3 < 17

2. Math II Day 46 ( )
Standard MM2A1.a
Write absolute value functions as piecewise functions.
Today’s Question:
How do we graph absolute value equations?

3. Absolute Value Graph X Intercepts Y Intercept Vertex Axis of Symmetry
Domain
Range

4. Graphing Absolute Values
Vertex
|x + 6| -2
Y doesn’t lie
X does change the sign
|x - 9| +5
X does change the sign
(-6, -2)
(9, 5)

5. Graphing Absolute Values
Transformation of Absolute Values
-5|x + 6| +8
Mountain or Valley
Fat or Narrow – slope of the lines
X of the vertex
Y of the vertex
(-6, 8)

6. Graphing Absolute Value
f(x) = lx-3l
Find the Vertex
Pick an X greater than the Vertex
Pick an X less than the Vertex
(3,0) x
|x-3| y
(x,y) -1
|-1-3| 4
(-1,4) 5
|5-3| 2
(5,2)

7. Another Example
y = 2|x+5| - 3
Find the vertex x
2|x+5| - 3 y
(x,y)

8. You try….
y = -3|x-2| + 6
Find the vertex x
-3|x-2| + 6 y
(x,y)

9. Classwork/Homework Page 42 1-16